Finding the Third Proportional to 2,617.95 and 3,662.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617.95 : 3,662.09 = 3,662.09 : x
2. Step 2: Convert to fraction form
   2,617.95/3,662.09 = 3,662.09/x
3. Step 3: Cross multiply
   2,617.95x = 3,662.09 × 3,662.09
4. Step 4: Simplify right side
   2,617.95x = 13,410,873.41
5. Step 5: Solve for x
   x = 13,410,873.41/2,617.95
6. Step 6: Final answer
   x = 5,122.67